Question

1. what is the value of the expression shown? 35 - (-110) ÷ 5 · 2 a. -9 b. 46 c. 79 d. -30

Explanation:

Step1: Perform division

First, calculate \((-110) \div 5\). According to the rules of arithmetic, dividing a negative number by a positive number gives a negative result. So, \((-110) \div 5 = -22\). But we have a subtraction of that result, so \(35 - (-22) \cdot 2\) (wait, no, let's correct: the original expression is \(35 - (-110) \div 5 \cdot 2\). So first, handle the division: \((-110) \div 5 = -22\). Then the expression becomes \(35 - (-22) \cdot 2\)? Wait, no, the order of operations is PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). So first, division: \((-110) \div 5 = -22\). Then multiplication: \(-22 \cdot 2 = -44\). Wait, no: wait, the expression is \(35 - (-110) \div 5 \cdot 2\). Let's do it step by step.

First, division: \((-110) \div 5 = -22\). Then, multiplication: \(-22 \cdot 2 = -44\). Now, the expression is \(35 - (-44)\). Subtracting a negative is adding the positive, so \(35 + 44 = 79\). Wait, let's recheck:

Wait, the original expression: \(35 - (-110) \div 5 \cdot 2\).

Step 1: Do the division: \((-110) \div 5 = -22\). So now the expression is \(35 - (-22) \cdot 2\)? No, wait, the order of operations: multiplication and division are left to right. So after division, we have multiplication: \(-22 \cdot 2\). Wait, no: the division is \((-110) \div 5 = -22\), then we multiply by 2: \(-22 \cdot 2 = -44\). Then the expression is \(35 - (-44)\)? Wait, no: the original expression is \(35 - [(-110) \div 5 \cdot 2]\). So first, inside the operations: divide \(-110\) by 5: \(-110 \div 5 = -22\). Then multiply by 2: \(-22 \cdot 2 = -44\). Now, the expression is \(35 - (-44)\). Subtracting a negative is adding the positive: \(35 + 44 = 79\).

Wait, let's do it again:

Expression: \(35 - (-110) \div 5 \cdot 2\)

Step 1: Perform division: \((-110) \div 5 = -22\). Now the expression is \(35 - (-22) \cdot 2\)? No, wait, the division is done, then multiplication: \(-22 \cdot 2 = -44\). So now the expression is \(35 - (-44)\). Wait, no, the sign: \(-(-110) \div 5 \cdot 2\) is the same as \(+110 \div 5 \cdot 2\)? Wait, no: the expression is \(35 - [(-110) \div 5 \cdot 2]\). Let's compute the part inside the brackets (the division and multiplication) first.

\((-110) \div 5 = -22\). Then, \(-22 \cdot 2 = -44\). So now, the expression is \(35 - (-44)\). Subtracting a negative is adding the positive: \(35 + 44 = 79\). So the value is 79, which is option C.

Step1: Divide \((-110)\) by 5

\((-110) \div 5 = -22\)

Step2: Multiply the result by 2

\(-22 \cdot 2 = -44\)

Step3: Subtract the result from 35 (subtract a negative)

\(35 - (-44) = 35 + 44 = 79\)

Answer:

C. 79